Does anyone know if the new Xbox Music app on Windows 8 (that is supposed to replace the Zune software) support podcast subscriptions and downloads?
No, it does not support podcast subscriptions yet, but it does support automatically watching folders. This means that you can use another app to download podcasts and listen to them in the Music app.
First app that came up searching for podcast: SlapDash Podcast.
No; I don't see any podcast options..
There are some podcast apps in the Windows Store.